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`(1)/(12)``(1)/(3)``(27)/(59)`none of these

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CSolution :

`(c )` `E:` Event of getting on outcome `(n_(1), n_(2),n_(3))` such that `i^(n_(1))+i^(n_(2))+i^(n_(3))=1` <br> `E_(1) : ` Event that fair die is thrown <br> `E_(2) :` Event that biased die is thrown <br> Fav. Cases :`(n_(1),n_(2),n_(3))` must be an arrangment of `{2,4,4}` or `{6,4,4}` or `{1,2,3}` , `{3,5,4}` <br> `P(E//E_(1))="^(3)C_(2)((1)/(6))^(3)+^(3)C_(2)((1)/(6))^(3)+3!((1)/(6))^(3)+3!((1)/(6))^(3)` <br> `P(E//E_(2))="^(3)C_(2)((2)/(9))^(3)+^(3)C_(2)((2)/(9))^(3)+3!((1)/(9))^(2)((2)/(9))+3!((1)/(9))^(2)((2)/(9))` <br> `P(E_(1)//E)=((1)/(2)[(1)/(12)])/((1)/(2)[((1)/(12))+(8)/(81)])=(27)/(59)`